Important Questions: Arithmetic Progression

Revision Notes and Video Lectures on Arithmetic Progression  for Class 10 Board Exam (Padhte Chalo, Badhte Chalo- Eckovation). Join Group Code 101010 to discuss your doubts with educators from IIT Delhi

  • Unit 2 of class X CBSE contains 4 chapters which includes
    1.Polynomials
    2.Pair of linear equation in two variables
    3.Quadratic Equations
    4.Arithmetic Progression
  • This unit carries 20 marks out of 80
  • Click here to download revision notes of Arithmetic Progression

  1. Is 2, 8, 18, 32, ______ an A.P.? If yes, then find its next two terms.
  2. Find an A.P. whose 2nd term is 10 and the 6th term exceeds the 4th term by 12.
  3.  Which term of the A.P. 41, 38, 35 _______ is the first negative term? Find the term also.
  4.  Nidhi saves Rs. 2 on day 1, Rs. 4 on day 2, Rs. 6 on day 3 and so on. How much money she save in month of Feb. 2011?
  5.  Find the number of terms in an A.P. whose first term and 6th term are 12 and 8 respectively and sum of all terms is 120.
  6. How many two digits numbers between 6 and 102 are divisible by 6.
  7.  If sn the sum of first n terms of an A.P. is given by sn = 3n 2 – 4n, then find its n th term and common difference.
  8. The sum of 4th and 8th terms of an A.P. is 24 and sum of 6th and 10th terms is 44. Find A.P.
  9.  Find the sum of odd positive integers between 1 and 199.
  10. How many terms of the A.P. 22, 20, 18, _____ should be taken so that their sum is zero?
  11.  4k + 8, 2k 2 + 3k + 6, 3k 2 + 4k + 4 are the angles of a triangle. These form an A.P. Find value of k.
  12.  If 11 times of 11th term is equal to 17 times of 17th term of an A.P. find its 28th term.
  13. The fourth term of an A.P. is equal to 3 times the first term and the seventh term exceeds twice the third term by 1. Find the first term and common difference of the A.P.
  14. Find the middle term of the A.P. 20, 16, 12, ……, –176.
  15.  Find the number of terms of the A.P. 57, 54, 51, ______ so that their sum is 570. Explain the double answer.
  16. The sum of three numbers in A.P. is 24 and their product is 440. Find the numbers.
  17.  Find the sum of the first 40 terms of an A.P. whose n th term is 3 – 2n.
  18.  In an A.P., the first term is 2, the last term is 29 and the sum of the terms is 155. Find common difference ‘d’.
  19.  If n th term of an A.P. is 4, common difference is 2 and sum of n terms is –14, then find first term and the number of terms.
  20. Find the sum of all the three digits numbers each of which leaves the remainder 3 when divided by 5.

 

Answers

1   Yes, √ 50,√ 72                               2 4, 10, 16, ……………                                    3 15th term, –1                                     4  Rs. 812                                   5  12                                                          6 15                                                                     7   6n – 7, Common difference = 6                                                  8    –13, –8, –3, 2 ……………               9 9800                                                             10 . 23
11 0, 2                                                     12 0                                                                     13 First term = 3, common difference = 2                                     14 –76, –80                                         15 19 or 20, {20th term is zero}         16  5, 8, 11                                                 17 –1520                                   18 3                                                      19 First term = – 8, Number of terms                                                                         20 99090

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